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Finding the Third Proportional to 335,275 and 727,318

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Solution

The third proportional to 335,275 and 727,318 is: 1,577,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,275 : 727,318 = 727,318 : x
  2. Step 2: Convert to fraction form
    335,275/727,318 = 727,318/x
  3. Step 3: Cross multiply
    335,275x = 727,318 × 727,318
  4. Step 4: Simplify right side
    335,275x = 528,991,473,124
  5. Step 5: Solve for x
    x = 528,991,473,124/335,275
  6. Step 6: Final answer
    x = 1,577,783.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.